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Finding the Fourth Proportional to 402.96, 556.32 and 278.58

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Solution

The fourth proportional to 402.96, 556.32 and 278.58 is: 384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.96 : 556.32 = 278.58 : x
  2. Step 2: Convert to fraction form
    402.96/556.32 = 278.58/x
  3. Step 3: Cross multiply
    402.96x = 556.32 × 278.58
  4. Step 4: Simplify right side
    402.96x = 154,979.63
  5. Step 5: Solve for x
    x = 154,979.63/402.96
  6. Step 6: Final answer
    x = 384.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.